Question:medium

Which of the following figure represents the relation between Celsius and Fahrenheit temperatures?

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Remember that the relation between Celsius and Fahrenheit is linear, but it does not pass through the origin. The conversion factor is \( \frac{9}{5} \), and the y-intercept is 32.
Updated On: Mar 25, 2026
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The Correct Option is A

Solution and Explanation

The conversion between Celsius (C) and Fahrenheit (F) is defined by the linear equation: \[ F = \frac{9}{5}C + 32. \] This represents a straight line with a slope of \( \frac{9}{5} \) and a y-intercept of 32. Consequently, at 0°C, the Fahrenheit temperature is 32°F. Therefore, the relationship between Celsius and Fahrenheit is a straight line with a positive slope that does not originate from (0,0) but intersects the Fahrenheit axis at 32°F. The correct representation among the given options is a line passing through the origin with a positive slope, mirroring the Celsius to Fahrenheit scale's relationship, albeit shifted from the origin.
Final Answer: Option (1).

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